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Finding the Fourth Proportional to 385.76, 531.56 and 326.57

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Solution

The fourth proportional to 385.76, 531.56 and 326.57 is: 449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.76 : 531.56 = 326.57 : x
  2. Step 2: Convert to fraction form
    385.76/531.56 = 326.57/x
  3. Step 3: Cross multiply
    385.76x = 531.56 × 326.57
  4. Step 4: Simplify right side
    385.76x = 173,589.71
  5. Step 5: Solve for x
    x = 173,589.71/385.76
  6. Step 6: Final answer
    x = 449.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.